Adaptive Stochastic Methods

Dmitry G. Arseniev

ISBN 10: 3110553643 / ISBN 13: 9783110553642

Editore: De Gruyter, Mercury Learning And Information Jan 2018, 2018

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This item is printed on demand - Print on Demand Titel. Neuware -This monograph develops adaptive stochastic methods in computational mathematics. The authors discuss the basic ideas of the algorithms and ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are illustrated by multiple examples from mechanics, theory of elasticity, heat conduction and fluid dynamics.ContentsPart I: Evaluation of IntegralsFundamentals of the Monte Carlo Method to Evaluate Definite IntegralsSequential Monte Carlo Method and Adaptive IntegrationMethods of Adaptive Integration Based on Piecewise ApproximationMethods of Adaptive Integration Based on Global ApproximationNumerical ExperimentsAdaptive Importance Sampling Method Based on Piecewise Constant ApproximationPart II: Solution of Integral EquationsSemi-Statistical Method of Solving Integral Equations NumericallyProblem of Vibration ConductivityProblem on Ideal-Fluid Flow Around an AirfoilFirst Basic Problem of Elasticity TheorySecond Basic Problem of Elasticity TheoryProjectional and Statistical Method of Solving Integral Equations NumericallyWalter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 290 pp. Englisch.

Codice articolo 9783110553642

Dati bibliografici

• Titolo: Adaptive Stochastic Methods
• Editore: De Gruyter, Mercury Learning And Information Jan 2018
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3110553643
• ISBN 13: 9783110553642
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 246 L x 175 A x 22 P (millimetri) 246 millimetri di larghezza per 175 millimetri di altezza per 22 millimetri di profondità
• Peso: 675 grammi

Descrizione articolo

Riassunto

This monograph develops adaptive stochastic methods in computational mathematics. The authors discuss the basic ideas of the algorithms and ways to analyze their properties and efficiency. Methods of evaluation of multidimensional integrals and solutions of integral equations are illustrated by multiple examples from mechanics, theory of elasticity, heat conduction and fluid dynamics.

Contents

Part I: Evaluation of Integrals
Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals
Sequential Monte Carlo Method and Adaptive Integration
Methods of Adaptive Integration Based on Piecewise Approximation
Methods of Adaptive Integration Based on Global Approximation
Numerical Experiments
Adaptive Importance Sampling Method Based on Piecewise Constant Approximation

Part II: Solution of Integral Equations
Semi-Statistical Method of Solving Integral Equations Numerically
Problem of Vibration Conductivity
Problem on Ideal-Fluid Flow Around an Airfoil
First Basic Problem of Elasticity Theory
Second Basic Problem of Elasticity Theory
Projectional and Statistical Method of Solving Integral Equations Numerically

Informazioni sull?autore

Dmitry Arsenyev, Vladimir Ivanov and Maxim Korenevskii, St. Petersburg Polytechnical University, Russia.